1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AnnyKZ [126]
3 years ago
6

A report revealed that the average no. of months that an employee stays in a factory is 36 months. Assuming that

Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer:

a) P [X ≥ 30 ] =  0,8413      or    84,13%

b)  P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Step-by-step explanation:

z = ( X - μ₀ )/σ

μ₀ the mean ( average no. of months that an employee stay in a factory)

σ standard deviation

a) P [X ≥ 30 ] = 1 -  P [X < 30 ]

P [X < 30 ]

We look for z (score)

z = ( X - μ₀ )/σ      ⇒  z =  30 - 36 / 6

z = - 1

From z table we get for -1  

P [X < 30 ] = 0,1587

And

P [X ≥ 30 ] = 1 -  P [X < 30 ]  ⇒        P [X ≥ 30 ] = 1 - 0,1587

P [X ≥ 30 ] =  0,8413      or    84,13%

b) P [X < 24]

z (score) = ( 24 - 36 ) / 6

z( score) = -2

And from z table we get:

P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]    is  P[X ≤ 48] -  P[X ≤ 24]

P [X < 48]

s (score) = 48 - 36 / 6      ⇒   z = 2

P [X < 48] = 0,9772

Then

P [ 24 < X < 48 ]   = 0,9772  - 0,0228

P [ 24 < X < 48 ]   =  0,9544     or   95,44%

You might be interested in
Write an equation of the line that is parallel to x=-11 that passes through the point (-9, 0).
zysi [14]
X=-9

There is no slope in either equation. Therefore, x=-11 and x=-9 will be two vertical and parallel lines at (-11,0) and (-9,0)
4 0
3 years ago
Mhanifa please help look at the picture attached
olga55 [171]

Answer:

  • B. (3, 2)

Step-by-step explanation:

<u>Given vertices of triangle:</u>

  • A(1, 2), B(3, 4), C(5, 0)

<u>The centroid is found as the average of x- and y- coordinates of three vertices:</u>

  • C = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3)

<u>Substitute the coordinates into formula:</u>

  • C = ((1 + 3 + 5)/3, (2 + 4 + 0)/3) = (3, 2)

Correct choice is B

3 0
3 years ago
Read 2 more answers
Each square on the grid represents 1 m2. What is the approximate area of this grassy field?
Rudik [331]
The answer is B estimated number is 20
8 0
3 years ago
Read 2 more answers
20 POINTS HELP Over time, the value of the property at 397 West Lake Street increased by 275%. If the initial value of the prope
Arlecino [84]

Answer: A is your answer.

6 0
3 years ago
I’ll give brainliest to whoever can do this
tino4ka555 [31]

i forgot hiw to do that

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Show that each system has no solution<br>y=x+1<br>-x+y=3
    13·1 answer
  • Is the quotient 2.7 divided by 3 greater or less than one
    10·2 answers
  • When buying snacks for her classroom, Ms. Davis bought 4 bags of mixed nuts and 8 bags of pretzels. A bag of pretzels costs $1.5
    9·2 answers
  • Find the height a 17-foot ladder can reach on the side of a building when it
    6·1 answer
  • What are the Cartesian coordinates of a point with polar coordinates (17, 60 degrees)?
    13·1 answer
  • (2x-3)(x+2)-(3-2x)(3x-2)=0
    6·2 answers
  • Please help me solve​
    14·1 answer
  • Jonathan bought 2 1/8 pounds of candy from a candy store. 4/5 of his candy is strawberry flavored. How much of Jonathan's candy
    6·2 answers
  • The system of equations 3x + 9y^3= -21, 13y^3+4x=-1 has exactly one solution.
    8·1 answer
  • What is the value of x in the equation 2x + 3y = 36, when y = 6? A. 8 B. 9 C. 27 D. 36​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!